11853
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17600
- Proper Divisor Sum (Aliquot Sum)
- 5747
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7884
- Möbius Function
- 0
- Radical
- 1317
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Decimal part of cube root of a(n) starts with 8: first term of runs.at n=21A034134
- (p*q - 1)/2 where p and q are consecutive odd primes.at n=34A102770
- Number of partitions of n which contain their signature as a subpartition.at n=35A118052
- Numbers such that the sum of the factorials of the digits of the fourth power is a square.at n=18A126077
- Number of partitions p of n such that the number of distinct parts is a part and max(p) - min(p) is a part.at n=47A241387
- Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and the total absolute value of displacements not greater than 2*(n-1).at n=11A263899
- Indices of primes followed by a gap (distance to next larger prime) of 38.at n=29A320717
- Numbers that can be written in exactly two different ways as s_1^x_1 + ... + s_t^x_t, with 1 < s_1 < ... < s_t and {s_1,..., s_t} = {x_1,..., x_t} for some t > 0.at n=29A386966
- Expansion of 1 / sqrt((1-x)^6 - 4*x).at n=5A392641